MIT PDE/Analysis Seminar

Tuesday, November 28, 2023 at 4:00pm to 5:00pm

MIT, 2-136 182 Memorial Drive, Cambridge, MA

Speaker Lei Yang (Institute for Advanced Study)

Title: effective versions of Ratner’s equidistribution theorem

Abstract: I will talk about recent progress in the study of quantitative equidistribution of unipotent orbits in homogeneous spaces, namely, effective versions of Ratner’s equidistribution theorem. In particular, I will explain the main idea of my proof for unipotent orbits in SL(3,R)/SL(3,Z). The proof combines new ideas from harmonic analysis and incidence geometry. In particular, the quantitative behavior of unipotent orbits is closely related to a Kakeya model.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

MIT Community

Events By School

School of Science

Tags

pde_sem

Website

https://math.mit.edu/pde-analysis/

Department
Department of Mathematics
Hashtag

#PDE

Contact Email

rzammuto@mit.edu

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